Coordinate Geometry: The altitude AD, BE, CF of a triangle are x+y=0, x-4y=0 and ....

[olagoketobi]

Hello guys I am new here, Great from you guys so far please could someone help me with these questions
1. The altitude AD, BE, CF of a triangle are x+y=0, x-4y=0 and 2y-x=0 respectively. If the coordinates of A are (k, -k). Find the coordinates of B and C. Find also the locus of the centroid of the triangle ABC as k varies.
2. The length of the perpendicular to a line from the origins is 5 units. The lines passes through (3,5). Find its equation.
Thank you.

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[Deleted member 4993]

Hello guys I am new here, Great from you guys so far please could someone help me with these questions
1. The altitude AD, BE, CF of a triangle are x+y=0, x-4y=0 and 2y-x=0 respectively. If the coordinates of A are (k, -k). Find the coordinates of B and C. Find also the locus of the centroid of the triangle ABC as k varies.
2. The length of the perpendicular to a line from the origins is 5 units. The lines passes through (3,5). Find its equation.
Thank you.

Sent from my INFINIX-X551 using Tapatalk

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

 

[olagoketobi]

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

In the first question I have gotten the equation of the line |AC| = y-4x+5k=0 (line |AE| is perpendicular to line |AC|). Now I have the equation of a straight line and one coordinate i.e A(k, -k). My question now is how do I get the coordinates of C. Thanks

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[olagoketobi]

I meant line |BE| is perpendicular to line |AC| not line |AE| is perpendicular to line |AC|

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